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Finding the Fourth Proportional to 14,188.50, 19,580.16 and 7,902.12

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Solution

The fourth proportional to 14,188.50, 19,580.16 and 7,902.12 is: 10,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.50 : 19,580.16 = 7,902.12 : x
  2. Step 2: Convert to fraction form
    14,188.50/19,580.16 = 7,902.12/x
  3. Step 3: Cross multiply
    14,188.50x = 19,580.16 × 7,902.12
  4. Step 4: Simplify right side
    14,188.50x = 154,724,773.94
  5. Step 5: Solve for x
    x = 154,724,773.94/14,188.50
  6. Step 6: Final answer
    x = 10,904.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.